For mated pairs of gallinules (type of water bird), let X equal the weight in grams of the maleand Y the weight in grams of the female. Assume that X and Y have a bivariate normaldistribution with #x = 415, o = 611, y = 347 and o=689. The correlation coefficientbetween X and Y is p = -0.25.(b) Determine the marginal distributions of X and then of Y.(c) Find the conditional distribution of Y|X = x.(d) Find E(Y|X = z) and Var(Y|X = x).

Answered: Image /qna-images/answer/bfe4e818-0ff5-4d88-a712-0db50e22e94f.jpg

Answered: For mated pairs of gallinules (type of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Given the data as shown in the table below X Y 56 0.86 44 0.93 68 0.85 76 0.87 94 0.73 a) Assuming the correlation coefficient of � and � is found to be -0.897995, calculate the slope, �, and y-intercept, �, of the "Best-Fit" line �^=��^+�. Use 4 decimal places for each of �¯, �¯, ��, and �� values obtained from your calculator. Round your answer to 4 decimal places.�= .�= .b) Using the equation of the "Best-Fit" line to predict the value of � when �= 60. Enter your answer in 4 decimal places.�^= .c) Using the equation of the "Best-Fit" line to predict the value of � when �= 0.89. Enter your answer in 4 decimal places.�^= .
Is there a relationship between (X) rate of poverty (measured as a percent of population below poverty level) and (Y) rates of teen pregnancy (measured per 1,000 females aged 15 to 17)? A researcher selected random states and collected the following data. The correlation coefficient between was 0.98. Determine whether the correlation is significant. Use the correlation test statistics. Compute the appropriate test statistics. The degree of freedom is 6 and alpha at 0.05.
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 46 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.50 ml/kg for the distribution of blood plasma. d)Find the sample size necessary for a 99% confidence level with maximal margin of error E = 2.60 for the mean plasma volume in male firefighters. (Round up to the nearest whole number.) =__ male firefighters What price do farmers get for their watermelon crops? In the third week of July, a random sample of 45 farming regions gave a sample mean of x = $6.88 per 100 pounds of watermelon. Assume that ? is known to be $2.00 per 100 pounds. (a) Find a 90% confidence interval for the population mean price (per 100 pounds) that…
The amounts of 6 restaurant bills and the corresponding amounts of the tips are given in the below. Assume that bill amount is the explanatory variable and tip amount the response variable. Bill 32.98 49.72 52.44 64.30 97.34 88.01 Tip 4.50 5.28 7.00 7.70 16.00 10.00 (a) Find the correlation: r= (c) The regression equation is y^= . (d) If the amount of the bill is $90, the best prediction for the amount of the tip is $ .Note: Enter your answer as a number xx.xx (e) According to the regression equation, for every $5 increase in the bill, the tip should INCREASE or DECREASE) by $ .
A sample of 20 ordered pairs (x,y) has a value for "r" of r = 0.485 Which of the following statements are true? At the 5% level of significance, a positive correlation exists At the 1% level of significance, a positive correlation exists At the 1% level of significance, a negative correlation exists At the 5% level of significance, a negative correlation exists
Let the X-values represent the times, in minutes, of preparation for a Statistics test; let the Y-values represent the points earned on the test. Assume that the sample of paired (X, Y) data is a simple random sample of quantitative data and the data have a bivariate normal distribution. Also, the scatterplot shows that the points approximate a straight-line pattern. If the sample has 35 pairs of values with (Zx,Zy,) = 11.41, and if we use a significance level of 0.05, calculate r and determine whether if there is sufficient evidence to support a claim of a linear correlation between X and Y.

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